484004400 has 240 divisors, whose sum is σ = 1738841088. Its totient is φ = 114048000.

The previous prime is 484004383. The next prime is 484004407. The reversal of 484004400 is 4400484.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (484004407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487905 + ... + 488895.

Almost surely, 2^484004400 is an apocalyptic number.

484004400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869420544).

484004400 is an abundant number, since it is smaller than the sum of its proper divisors (1254836688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

484004400 is a wasteful number, since it uses less digits than its factorization.

484004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 484004400 is about 22000.0999997727. The cubic root of 484004400 is about 785.1448202663.

Adding to 484004400 its reverse (4400484), we get a palindrome (488404884).

The spelling of 484004400 in words is "four hundred eighty-four million, four thousand, four hundred".